Heat the oven to 375 degrees and line a baking sheet with parchment paper.
In a mixing bowl, cream the butter with 1/2 cup sugar until light. Add the egg and mix until smooth.
Stir in the flour, cream of tartar, baking soda, and salt until a soft dough forms. Divide the dough into two portions.
Roll one portion into eight small balls and place them on the baking sheet. Flatten each ball slightly.
Roll the remaining dough into thin strips. Wrap two or three strips around each cookie to create a mummy bandage effect.
Mix the remaining 1/4 cup sugar with the cinnamon. Sprinkle the mixture generously over the wrapped cookies so the bands pick up the coating.
Bake for 10 to 12 minutes until the edges turn golden. Let the cookies cool on the sheet for a few minutes before moving them.